Irreducible polynomials over composite Galois fields and their applications in coding techniques
D.H. Green, I.S. Taylor · Proceedings of the Institution of Electrical Engineers · 1974
Tables of irreducible polynomials and their exponents are listed for certain small nonprime Galois fields. These include all such polynomials up to and including degree 5 for GF(4), degree 3 for GF(8) and GF(9), and degree 2 for GF(16). In addition, a single primitive polynomial is given for each degree up to and including degree 11 for GF(4), degree 7 for GF(8) and GF(9), and degree 5 for GF(16). A brief summary is given of several areas where these results may prove useful in providing an alternative to the more conventional approach.